cpace07cp
cpace07cp cpace07cp
  • 26-03-2021
  • Mathematics
contestada

what is the value of the fourth term in a geometric sequence for which a1=30 and r=1/2

Respuesta :

altavistard
altavistard altavistard
  • 27-03-2021

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

Answer Link

Otras preguntas

If f(x) = 6x - 4 and f(a) = 26
Between what pair of numbers is the product of 289 and 7
How are a line segment and Ray different
What is 14 ten thousand + 12 ten thousand
Find the factors. Is 16 prime or composite?
cindy has 34 meters of fencing.she plans to fence in a rectangular dog run that is 2 meters wide.[remember, the formula for the perimeter of a rectangle( the di
Bagaimana hubungan kekeluargaan akan menjadi lebih erat
Write each fraction or mixed number as a decimal
The types of long term insurance offered by this company
what is the primary purpose of most constitutions?